Perfect how?

Number Theory Level 2

Divide 297 297 by the smallest possible positive integer a a so that the result is the square of a positive integer b b . What is a + b a+b ?


The answer is 36.

View wiki
Rishik Jain by Rishik Jain , 21, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

297 = 3 3 ∗ 11 = 3 2 ∗ 33 = b 2 ∗ a ⟹ b = 3 a = 33 a + b = 36. 297\\=3^3*11\\=3^2*33\\=b^2*a\\\implies~b=3\\~~~~~~~~~~~a=33\\a+b\\=36.

3 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...